546,477

3 × 182159

Starting at 546,477, the Collatz iteration reaches 1 after 146 steps. The first transition is 1639432; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 182159

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 728,640

Proper Divisor Sum 182,163

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #546467 ← → #546479

Radix Representation

Decimal	546477
Binary	10000101011010101101 (20 bits)
Octal	0o2053255
Hexadecimal	0x856AD

Divisor Catalog (4)

1 3 182,159 546,477

Collatz Trajectory (146 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

546,477 1,639,432 819,716 409,858 204,929 614,788 307,394 153,697 461,092 230,546 115,273 345,820 172,910 86,455 259,366 129,683 389,050 194,525 583,576 291,788 145,894 72,947 218,842 109,421 328,264 164,132 82,066 41,033 123,100 61,550 30,775 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792

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